Andrea Bisterzo

collaborators

3 papers

math.AP2025

Non-isoparametric Serrin domains of $S^{3}$ with connected toric boundary

Andrea Bisterzo, Shigeru Sakaguchi

We investigate the overdetermined torsion problem $\begin{cases} -Îu = 1 & \text{in}\ Î©\\ u=0 & \text{on}\ \partial Î©\\ \frac{\partial u}{\partial Î½}=\text{const.} & \text{on}\…

math.DG2025

Rigidity of an overdetermined heat equation and minimal helicoids in space-forms

Andrea Bisterzo, Alessandro Savo

Let $M$ be a Riemannian manifold and $I^c ◯$ a smooth domain of $M$ . We study the following heat diffusion problem: assume that the initial temperature is equal to $1$ , uniformly on $…

math.AP2024

Quantitative spectral stability for compact operators

Andrea Bisterzo, Giovanni Siclari

This paper deals with quantitative spectral stability for compact operators acting on $L^{2} (X, m)$ , where $(X, m)$ is a measure space. Under fairly general assumptions, we provide a c…

Non-isoparametric Serrin domains of S3 with connected toric boundary

Rigidity of an overdetermined heat equation and minimal helicoids in space-forms

Quantitative spectral stability for compact operators

Non-isoparametric Serrin domains of $S^{3}$ with connected toric boundary